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Derivative function is to examine the nature of an important tool, and the number of research tools from the nature of the function, for example: monotone, extreme, the maximum and minimum, punch, the inflection point, asymptotic lines, Physics is the study of the relationship between all the common tools that can solve complex mechanics, electromagnetism, and other issues. Derivative such special tools in other areas also have important applications can solve many practical problems. In order to understand the role of derivative to the actual issues to be correct, flexible applications. This paper summarized the classification derivative in mathematics, economic analysis and management, as well as the application of physics, mainly through the analysis of the typical examples to reflect on derivative instruments role. With economic development, the derivatives of the applications are gradually becoming more important, the most notable is derivative in the marginal economics of the analysis is particularly important. Thus, application of derivatives has become a common concern to all of us of one of the hot issues.
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